Find the greatest possible number for which 20% of that number is less than 100.
Answer & explanation
Correct answer: option 3
Lets solve one by one for each option ,
1. 500
20% of 500
= \(\frac{20}{100}\) × 500
= \(\frac{1}{5}\) × 500
= 100
{ it is equal to 100 not less than 100 , not satisfied }
2. 200
20% of 200
= \(\frac{20}{100}\) × 200
= \(\frac{1}{5}\) × 200
= 40
{ it is less than 100 but not the greatest number . so, not satisfied }
3. 300
20% of 300
= \(\frac{20}{100}\) × 300
= \(\frac{1}{5}\) × 300
= 60
{ it less than 100 , and it is greatest among option . So satisfied }
4. 600
20% of 500
= \(\frac{20}{100}\) × 600
= \(\frac{1}{5}\) × 600
= 120
{ it is more than 100 , not satisfied }
Ans :- 300